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Your family members will be able to work if you are either:

a government-sponsored student taking a course that is over six months long, or
taking a postgraduate course that is at least 12 months long and you are studying at an institution that meets the UK Border Agency's definition of a higher education institution.
The UK Border Agency defines a higher education institution as a Recognised Body or as an organisation that receives public funding for specific funding bodies. You should check with your college or university if it meets this definition, or the UK Border Agency's definition of an "overseas higher education institution" if you are on a study abroad programme.

If your family members are able to join you or stay with in the UK even though you do not fall into one of the categories described above, they will be able to work only if you are applying for leave for 12 months or more and your course is at degree level.

Family members who are allowed to work can take any type of employment, except as a doctor or dentist in training if their passport or biometric residence permit states that they are subject to this prohibition, and they can be self-employed.